Question

tony has scored 75, 65, 77, 62, and 87 on his previous five tests. what score does he need on his next test so that his average (mean) is 74?

Explanation:

Step1: Calculate sum of previous scores

$75 + 65+77 + 62+87=366$

Step2: Let the next - score be $x$. Set up mean formula

The mean of 6 scores is $\frac{366 + x}{6}$, and we want it to be 74. So, $\frac{366 + x}{6}=74$.

Step3: Solve the equation for $x$

Multiply both sides by 6: $366+x = 74\times6=444$. Then subtract 366 from both sides: $x=444 - 366 = 78$.

Answer:

78